{
  "annotation_id": "4192d7ab-83a4-4539-bc6b-76156aecf5f7",
  "date_created": "2026-03-02T18:02:37.114000Z",
  "date_modified": "2026-03-02T18:02:37.114000Z",
  "file_hash": "7221ba8a668cbe918516f721891db72b7477b630cb8058f3073145a4e9c983e2",
  "private": false,
  "record": {
    "abstract": "We introduce and study the properties of a class of coherent states for the\ngroup SU(1,1) X SU(1,1) and derive explicit expressions for these using the\nClebsch-Gordan algebra for the SU(1,1) group. We restrict ourselves to the\ndiscrete series representations of SU(1,1). These are the generalization of the\n`Barut Girardello\u0027 coherent states to the Kronecker Product of two non-compact\ngroups.The resolution of the identity and the analytic phase space\nrepresentation of these states is presented. This phase space representation is\nbased on the basis of products of `pair coherent states\u0027 rather than the\nstandard number state canonical basis. We discuss the utility of the resulting\n`bi-pair coherent states\u0027 in the context of four-mode interactions in quantum\noptics.",
    "arxiv_id": "quant-ph/9604025",
    "authors": [
      "Bindu A. Bambah",
      "G. S. Agarwal"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Invited talk published in \"Proc. of the fourth int. conf. on\n  Squeezed States and Uncertainty Relations\", NASA Conf. Pub.3322.(1995)",
    "title": "Coherent States for Kronecker Products of Non-Compact Groups:   Formulation and Applications",
    "url": "https://arxiv.org/abs/quant-ph/9604025"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "352b112f-da19-497e-ae12-f80ea235631e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}